If x men can do a piece of work in 8 days and (x+4) men can do the same work in 6 days, then x is equal to

** Option:**

**A.**6

**B.**10

**C.**12

**D.**24

**Answer: C . 12**

** Justification:**

x men's 1 day's work = 1/8

(x + 4) men's 1 day's work = 1/6

Subtracting (i) and (ii),

4 men's 1 day's work = (1/6) - (1/8) = (4 - 3)/24 = 1/24

Now for 1/24 work, men required = 4 for 1/8 work

men required = (4 x 24) / 8 = 12 men

Hence, x = 12 men.